Mathematical remarks on transcritical bifurcation in Hamiltonian systems

2007/10/18 by Klaus Jaenich, Jaenich, Klaus · 1 citation
Mathematics · Physics and Astronomy · #13 pages #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #LaTeX #Symplectic Geometry (math.SG) #math.DS #math.SG #msc:13 #nlin.CD

paper · pdf · doi:10.48550/arxiv.0710.3464

arxiv created 2007/10/18 · arxiv updated 2009/12/01

Abstract

This article is meant as a mathematical appendix or comment on [BT]. We first consider the notion of transcritical bifurcations of fixed points of general area-preserving maps, and then adress some questions related to [BT] on bifurcation in Poincaré maps of 2-dimensional Hamiltonian systems. [BT] M. Brack and K. Tanaka, arXiv:0705.0753

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